Static Friction Coefficient Depends on the External Pressure and Block Shape due to Precursor Slip
arXiv:2211.01066 · doi:10.1038/s41598-023-29764-w
Abstract
Amontons' law states that the maximum static friction force on a solid object is proportional to the loading force and is independent of the apparent contact area. This law indicates that the static friction coefficient does not depend on the external pressure or object shape. Here, we numerically investigate the sliding motion of a 3D viscoelastic block on a rigid substrate using the finite element method (FEM). The macroscopic static friction coefficient decreases with an increase in the external pressure, length, or width of the object, which contradicts Amontons' law. Precursor slip occurs in the 2D interface between the block and substrate before bulk sliding. The decrease in the macroscopic static friction coefficient is scaled by the critical area of the precursor slip before bulk sliding. A theoretical analysis of the simplified models reveals that bulk sliding results from the instability of the quasi-static precursor slip caused by velocity-weakening local friction. We also show that the critical slip area determines the macroscopic static friction coefficient, which explains the results of the FEM simulation.
arXiv comment11 pages, 6 figures; Supplementary Information 9 pages, 3 figures; 2 ancillary files (Supplementary Video) attached
References in corpus (13)
- Solid Friction from stick-slip to pinning and aging
- The dependence of the dry friction threshold on rupture dynamics
- Transition from static to kinetic friction: Insights from a 2D model
- Systematic Breakdown of Amontons' Law of Friction for an Elastic Object Locally Obeying Amontons' Law
- 1D model of precursors to frictional stick-slip motion allowing for robust comparison with experiments
- Slow slip and the transition from fast to slow fronts in the rupture of frictional interfaces
- Role of friction-induced torque in stick-slip motion
- How collective asperity detachments nucleate slip at frictional interfaces
- Static and dynamic friction of hierarchical surfaces
- The influence of the brittle-ductile transition zone on aftershock and foreshock occurrence
- Novel Friction Law for the Static Friction Force based on Local Precursor Slipping
- A 2-D Model for friction of complex anisotropic surfaces
- Correlation between slip precursors and topological length scales at the onset of frictional sliding